In how many different ways can letters of the word OFFICES be arranged?

A. 2520

B. 5040

C. 1850

D. 1680

E. None of these

Answer: Option A

Solution(By Examveda Team)

The given word contains 7 letters of which F is taken 2 times.
∴ Required number of ways
$$\eqalign{ & = \frac{{7!}}{{2!}} \cr & = \frac{{7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}}{{2 \times 1}} \cr & = 2520 \cr} $$